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20231221010 = 25711138922709
BaseRepresentation
bin10010110101110111…
…111110111100010010
31221012221121111211212
4102311313332330102
5312413143033020
613143305140122
71314230353430
oct226567767422
957187544755
1020231221010
118641aa6870
123b0748a642
131ba55738c0
14d9ccb3d50
157d61e0cc5
hex4b5dfef12

20231221010 has 128 divisors (see below), whose sum is σ = 49446028800. Its totient is φ = 5755115520.

The previous prime is 20231220929. The next prime is 20231221013. The reversal of 20231221010 is 1012213202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20231221013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 879536 + ... + 902244.

It is an arithmetic number, because the mean of its divisors is an integer number (386297100).

Almost surely, 220231221010 is an apocalyptic number.

20231221010 is an abundant number, since it is smaller than the sum of its proper divisors (29214807790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20231221010 is a wasteful number, since it uses less digits than its factorization.

20231221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22836.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20231221010 its reverse (1012213202), we get a palindrome (21243434212).

It can be divided in two parts, 202312 and 21010, that added together give a palindrome (223322).

The spelling of 20231221010 in words is "twenty billion, two hundred thirty-one million, two hundred twenty-one thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 89 91 110 130 143 154 178 182 286 385 445 455 623 715 770 890 910 979 1001 1157 1246 1430 1958 2002 2314 3115 4895 5005 5785 6230 6853 8099 9790 10010 11570 12727 13706 16198 22709 25454 34265 40495 45418 63635 68530 80990 89089 113545 127270 158963 178178 227090 249799 295217 317926 445445 499598 590434 794815 890890 1248995 1476085 1589630 1748593 2021101 2066519 2497990 2952170 3247387 3497186 4042202 4133038 6494774 8742965 10105505 10332595 14147707 16236935 17485930 20211010 20665190 22232111 22731709 26274313 28295414 32473870 44464222 45463418 52548626 70738535 111160555 113658545 131371565 141477070 155624777 183920191 222321110 227317090 262743130 289017443 311249554 367840382 578034886 778123885 919600955 1445087215 1556247770 1839201910 2023122101 2890174430 4046244202 10115610505 20231221010